Q.

Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.2 km and 0.9 km respectively. How long will they take to cross each other?

A. 30.2 sec
B. 40.3 sec
C. 50.4 sec
D. 60.5 sec
Answer» C. 50.4 sec
Explanation: Since the trains are moving in opposite directions, their relative speed is (60+90) km/hr = 150 km/hr. We convert this speed from km/hr to m/sec by multiplying by 5/18, so relative speed = 150*(5/18) m/sec = 125/3 m/sec. The total distance to be covered is the sum of the lengths of the two trains, which is 1.2 km + 0.9 km = 2.1 km = 2100 m. The time they take to cross each other is Distance/Speed = 2100 m / (125/3) m/sec = 50.4 sec.
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